Search a number
-
+
20221220122110 = 23257234957281527
BaseRepresentation
bin1001001100100000111101…
…01001000110110111111110
32122121010111121011002021200
410212100132221012313332
510122301024322401420
6111001300021040330
74154635454026050
oct446203651066776
978533447132250
1020221220122110
116496853658037
1223270118560a6
13b38b119c8b87
144dc9d86b18d0
15251001238b90
hex12641ea46dfe

20221220122110 has 192 divisors, whose sum is σ = 62711213340672. Its totient is φ = 4420129367808.

The previous prime is 20221220122109. The next prime is 20221220122121. The reversal of 20221220122110 is 1122102212202.

It is a happy number.

20221220122110 is a `hidden beast` number, since 2 + 0 + 221 + 220 + 1 + 221 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71686167 + ... + 71967693.

It is an arithmetic number, because the mean of its divisors is an integer number (326620902816).

Almost surely, 220221220122110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20221220122110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31355606670336).

20221220122110 is an abundant number, since it is smaller than the sum of its proper divisors (42489993218562).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20221220122110 is a wasteful number, since it uses less digits than its factorization.

20221220122110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286527 (or 286524 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20221220122110 its reverse (1122102212202), we get a palindrome (21343322334312).

The spelling of 20221220122110 in words is "twenty trillion, two hundred twenty-one billion, two hundred twenty million, one hundred twenty-two thousand, one hundred ten".